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Fuzzy relation equations and fuzzy inference systems: an inside approach

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2 Author(s)
Stamou, G.B. ; Dept. of Electr. & Comput. Eng., Nat. Tech. Univ. of Athens, Greece ; Tzafestas, S.G.

This paper investigates and extends the use of fuzzy relation equations for the representation and study of fuzzy inference systems. Using the generalized sup-t (t is a triangular norm) composition of fuzzy relations and the study of sup-t fuzzy relation equations, interesting results are provided concerning the completeness and the theoretical soundness of the representation, as well as the ability to mathematically formulate and satisfy application-oriented design demands. Furthermore, giving a formal study of fuzzy partitions and some useful aspects of fuzzy associations and fuzzy systems, the paper can be used as a theoretical background for designing consistent fuzzy inference systems

Published in:
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on  (Volume:29 ,  Issue: 6 )

Date of Publication: Dec 1999

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